420403200 has 576 divisors, whose sum is σ = 1754887680. Its totient is φ = 86507520.

The previous prime is 420403171. The next prime is 420403229. The reversal of 420403200 is 2304024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420403171) and next prime (420403229).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420403200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18278389 + ... + 18278411.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^420403200 is an apocalyptic number.

420403200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

420403200 is an abundant number, since it is smaller than the sum of its proper divisors (1334484480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420403200 is a wasteful number, since it uses less digits than its factorization.

420403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 420403200 is about 20503.7362448896. The cubic root of 420403200 is about 749.1268059931.

Adding to 420403200 its reverse (2304024), we get a palindrome (422707224).

The spelling of 420403200 in words is "four hundred twenty million, four hundred three thousand, two hundred".